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Finding the Fourth Proportional to 208,368, 312,603.84 and 60,624

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Solution

The fourth proportional to 208,368, 312,603.84 and 60,624 is: 90,951.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,368 : 312,603.84 = 60,624 : x
  2. Step 2: Convert to fraction form
    208,368/312,603.84 = 60,624/x
  3. Step 3: Cross multiply
    208,368x = 312,603.84 × 60,624
  4. Step 4: Simplify right side
    208,368x = 18,951,295,196.16
  5. Step 5: Solve for x
    x = 18,951,295,196.16/208,368
  6. Step 6: Final answer
    x = 90,951.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.